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Finding the Fourth Proportional to 2,332.51, 3,499.71 and 2,295.66

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Solution

The fourth proportional to 2,332.51, 3,499.71 and 2,295.66 is: 3,444.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,332.51 : 3,499.71 = 2,295.66 : x
  2. Step 2: Convert to fraction form
    2,332.51/3,499.71 = 2,295.66/x
  3. Step 3: Cross multiply
    2,332.51x = 3,499.71 × 2,295.66
  4. Step 4: Simplify right side
    2,332.51x = 8,034,144.26
  5. Step 5: Solve for x
    x = 8,034,144.26/2,332.51
  6. Step 6: Final answer
    x = 3,444.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.